This paper investigates a damping strategy for integrally bladed disks (blisks) based on the use of friction rings. The steady-state forced response of the blisk with friction rings is derived using the so-called dynamic Lagrangian frequency-time method adapted to cyclic structures with rotating excitations. In addition, an original approach for optimal determination of the number of Fourier harmonics is proposed. In numerical applications, a representative compressor blisk featuring several rings is considered. Each substructure is modeled using finite-elements and a reduced-order modeling technique is used for the blisk. The efficiency of this damping technology is investigated, and friction dissipation phenomena are interpreted with respect to frequency responses. It is shown that the friction damping effectiveness depends mainly on the level of dynamic coupling between blades and disk, and on whether the dynamics features significant alternating stick/slip phases. Through parameter studies, design guidelines are also proposed.

1.
Griffin
,
J. H.
, 1990, “
A Review of Friction Damping of Turbine Blade Vibration
,”
Int. J. Turbo Jet Engines
0334-0082,
7
, pp.
297
307
.
2.
Sinha
,
A.
, and
Griffin
,
J. H.
, 1985, “
Effects of Friction Dampers on Aerodynamically Unstable Rotor Stages
,”
AIAA J.
0001-1452,
23
(
2
), pp.
262
270
.
3.
Csaba
,
G.
, 1998, “
Forced Response Analysis in Time and Frequency Domains of a Tuned Bladed Disk With Friction Dampers
,”
J. Sound Vib.
0022-460X,
214
(
3
), pp.
395
412
.
4.
Guillen
,
J.
, and
Pierre
,
C.
, 1999, “
An Efficient, Hybrid, Frequency-Time Domain Method for the Dynamics of Large-Scale Dry-Friction Damped Structural Systems
,”
Proceedings of the IUTAM Symposium on Unilateral Multibody Contacts
, Dordrecht, Netherlands.
5.
Nacivet
,
S.
,
Pierre
,
C.
,
Thouverez
,
F.
, and
Jézéquel
,
L.
, 2003, “
A Dynamic Lagrangian Frequency-Time Method for the Vibration of Dry-Friction-Damped Systems
,”
J. Sound Vib.
0022-460X,
265
, pp.
201
219
.
6.
Petrov
,
E. P.
, 2003, “
Analytical Formulation of Friction Interface Elements for Analysis of Nonlinear Multi-Harmonic Vibrations of Bladed Disks
,”
ASME J. Turbomach.
0889-504X,
125
(
2
), pp.
364
371
.
7.
Sanliturk
,
K. Y.
, and
Ewins
,
D. J.
, 1996, “
Modelling Two-Dimensional Friction Contact and Its Application Using Harmonic Balance Method
,”
J. Sound Vib.
0022-460X,
193
(
2
), pp.
511
523
.
8.
Chen
,
J. J.
,
Yang
,
B. D.
, and
Menq
,
C. H.
, 2000, “
Periodic Forced Response of Structures Having Three-Dimensional Frictional Constraints
,”
J. Sound Vib.
0022-460X,
229
(
4
), pp.
775
792
.
9.
Menq
,
C. H.
,
Bielak
,
J.
, and
Griffin
,
J. H.
, 1986, “
The Influence of Microslip on Vibratory Response, Part II: A Comparison With Experimental Results
,”
J. Sound Vib.
0022-460X,
107
(
2
), pp.
295
307
.
10.
Yang
,
B. D.
, and
Menq
,
C. H.
, 1998, “
Characterization of Contact Kinematics and Application to the Design of Wedge Dampers in Turbomachinery Blading: Part 2—Prediction of Forced Response and Experimental Verification
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
120
, pp.
418
423
.
11.
Berthillier
,
M.
,
Dupont
,
C.
,
Mondal
,
R.
, and
Barrau
,
J. J.
, 1998, “
Blades Forced Response Analysis With Friction Dampers
,”
ASME J. Vibr. Acoust.
0739-3717,
120
, pp.
468
474
.
12.
Sanliturk
,
K. Y.
,
Ewins
,
D. J.
,
Elliott
,
R.
, and
Green
,
J. S.
, 2001, “
Friction Damper Optimization: Simulation of Rainbow Tests
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
123
, pp.
930
939
.
13.
Niemotka
,
M. A.
, and
Ziegert
,
J. C.
, 1993, “
Optimal Design of Split Ring Dampers for Gas Turbine Engines
,”
Proceedings of the ASME Turbo Expo
.
14.
Laxalde
,
D.
,
Sinou
,
J. J.
,
Thouverez
,
F.
, and
Lombard
,
J. P.
, 2007, “
Qualitative Analysis of Forced Response of Blisks With Friction Ring Dampers
,”
Eur. J. Mech. A, Solids
,
26
(
4
), pp.
676
687
.
15.
Poudou
,
O.
, and
Pierre
,
C.
, 2003, “
Hybrid Frequency-Time Domain Methods for the Analysis of Complex Structural Systems With Dry Friction Damping
,”
Proceedings of the 44th AIAA/ASME/ASCE/AHS Conferences
, Norfolk, VA.
16.
Petrov
,
E. P.
, 2004, “
A Method for Use of Cyclic Symmetry Properties in Analysis of Nonlinear Multiharmonic Vibrations of Bladed Disks
,”
ASME J. Turbomach.
0889-504X,
126
, pp.
175
183
.
17.
Thomas
,
D. L.
, 1979, “
Dynamics of Rotationally Periodic Structures
,”
Int. J. Numer. Methods Eng.
0029-5981,
14
(
1
), pp.
81
102
.
18.
Cameron
,
T. M.
, and
Griffin
,
J. H.
, 1989, “
An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems
,”
ASME J. Appl. Mech.
0021-8936,
56
, pp.
149
154
.
19.
Petrov
,
E. P.
, and
Ewins
,
D. J.
, 2002, “
Models of Friction Damping With Variable Normal Load for Time-Domain Analysis of Vibrations
,”
Proceedings of the ISMA
, Leuven, Belgium, Vol.
1
.
20.
Charleux
,
D.
,
Gibert
,
C.
,
Thouverez
,
F.
, and
Dupeux
,
J.
, 2006, “
Numerical and Experimental Study of Friction Damping in Blade Attachments of Rotating Bladed Disks
,”
Int. J. Rotating Mach.
1023-621X,
2006
, Article ID
71302
.
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